PRP Records

Probable Primes Top 10000

(300944 PRPs in the top)


What is a PRP ?

A PRP is a probable prime number, a number that nobody knows how to prove or disprove its primality.
Here are some criterions that can be used to recognize these numbers :

- N does not have any prime factor up to 2^32.
- N cannot be trivially written into a product.
- Take 3 square-free consecutive bases such that (b1/N)=(b2/N)=(b3/N)= -1. N should be such that b1^((N-1)/2)=b2^((N-1)/2)=b3^((N-1)/2)= -1 (mod N).
- Take a prime base such that (b/N)= -1 and b<>b1<>b2<>b3. N should pass the strong test in base b.
- or more (if someone has got an idea) !!!


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1-250   251-500   501-750   751-1000   1001-1250   1251-1500   1501-1750   1751-2000   
2001-2250   2251-2500   2501-2750   2751-3000   3001-3250   3251-3500   3501-3750   3751-4000   
4001-4250   4251-4500   4501-4750   4751-5000   5001-5250   5251-5500   5501-5750   5751-6000   
6001-6250   6251-6500   6501-6750   6751-7000   7001-7250   7251-7500   7501-7750   7751-8000   
8001-8250   8251-8500   8501-8750   8751-9000   9001-9250   9251-9500   9501-9750   9751-10000   


Rank Probable prime Digits (> 50000) Who ? When ?
8001(2^346318+862)/2104252Stefano Morozzi02/2021
800918^83049-89104250Lelio R Paula01/2017
8008(2^346311+606)/2104250Stefano Morozzi09/2020
80022^346308+92347104250Stefano Morozzi11/2024
80032^346308+182521104250Stefano Morozzi11/2024
80042^346309+128897104250Stefano Morozzi11/2024
80052^346309+184955104250Stefano Morozzi11/2024
80062^346310+303104250Stefano Morozzi11/2024
80072^346311+32693104250Stefano Morozzi11/2024
80102^346305+165741104249Stefano Morozzi11/2024
80112^346302+75075104248Stefano Morozzi11/2024
80122^346304+33411104248Stefano Morozzi11/2024
80132^346298+147849104247Stefano Morozzi11/2024
80142^346300+144855104247Stefano Morozzi11/2024
80152^346296+44865104246Stefano Morozzi11/2024
80162^346297+116291104246Stefano Morozzi11/2024
80172^346297+142667104246Stefano Morozzi11/2024
80182^346293+39285104245Stefano Morozzi11/2024
80192^346293+58929104245Stefano Morozzi11/2024
80202^346294+151075104245Stefano Morozzi11/2024
80212^346290+162153104244Stefano Morozzi11/2024
80222^346286+139935104243Stefano Morozzi11/2024
80232^346282+184705104242Stefano Morozzi11/2024
80242^346283+116913104242Stefano Morozzi11/2024
80252^346284+118191104242Stefano Morozzi11/2024
80262^346284+186595104242Stefano Morozzi11/2024
80272^346279+29591104241Stefano Morozzi11/2024
80282^346279+122385104241Stefano Morozzi11/2024
80292^346280+18925104241Stefano Morozzi11/2024
80302^346281+69725104241Stefano Morozzi11/2024
80312^346281+156401104241Stefano Morozzi11/2024
80322^346275+182519104240Stefano Morozzi11/2024
80332^346276+14101104240Stefano Morozzi11/2024
80342^346276+189937104240Stefano Morozzi11/2024
80352^346273+121425104239Stefano Morozzi11/2024
80362^346274+72363104239Stefano Morozzi11/2024
80372^346274+92047104239Stefano Morozzi11/2024
80382^346268+44233104238Stefano Morozzi11/2024
80392^346270+19539104238Stefano Morozzi11/2024
80402^346265+133877104237Stefano Morozzi11/2024
80412^346267+64613104237Stefano Morozzi11/2024
80422^346267+70461104237Stefano Morozzi11/2024
80432^346267+118715104237Stefano Morozzi11/2024
80442^346263+110721104236Stefano Morozzi11/2024
80452^346263+165009104236Stefano Morozzi11/2024
80462^346264+50481104236Stefano Morozzi11/2024
80472^346264+134047104236Stefano Morozzi11/2024
80482^346264+179617104236Stefano Morozzi11/2024
80492^346260+176391104235Stefano Morozzi11/2024
80502^346256+36111104234Stefano Morozzi11/2024
80512^346254+52299104233Stefano Morozzi11/2024
8057(166*10^104230+11)/3104232Robert Price03/2021
80522^346248+3075104232Stefano Morozzi11/2024
80532^346248+39081104232Stefano Morozzi11/2024
80542^346249+38339104232Stefano Morozzi11/2024
80552^346251+32831104232Stefano Morozzi11/2024
80562^346251+116175104232Stefano Morozzi11/2024
80582^346247+197309104231Stefano Morozzi11/2024
80592^346245+95429104231Stefano Morozzi11/2024
80602^346243+58163104230Stefano Morozzi11/2024
80612^346243+130931104230Stefano Morozzi11/2024
80622^346244+10381104230Stefano Morozzi11/2024
80632^346241+41057104229Stefano Morozzi11/2024
80642^346235+152303104228Stefano Morozzi11/2024
80652^346236+106617104228Stefano Morozzi11/2024
80662^346232+103317104227Stefano Morozzi11/2024
80672^346232+193681104227Stefano Morozzi11/2024
80682^346233+115671104227Stefano Morozzi11/2024
80692^346229+73157104226Stefano Morozzi11/2024
80702^346229+145377104226Stefano Morozzi11/2024
80712^346230+171103104226Stefano Morozzi11/2024
80722^346225+55527104225Stefano Morozzi11/2024
80732^346225+132251104225Stefano Morozzi11/2024
80742^346225+140637104225Stefano Morozzi11/2024
80752^346223+27335104224Stefano Morozzi11/2024
80762^346223+74591104224Stefano Morozzi11/2024
80772^346224+70905104224Stefano Morozzi11/2024
80782^346220+12355104223Stefano Morozzi11/2024
80792^346220+110805104223Stefano Morozzi11/2024
80802^346220+161361104223Stefano Morozzi11/2024
80812^346220+176523104223Stefano Morozzi11/2024
80822^346220+185625104223Stefano Morozzi11/2024
80832^346216+62973104222Stefano Morozzi11/2024
80842^346217+88391104222Stefano Morozzi11/2024
80852^346217+170121104222Stefano Morozzi11/2024
80862^346217+111567104222Stefano Morozzi11/2024
80902^346213+484049104221Enzo Doria04/2017
80872^346212+31773104221Stefano Morozzi11/2024
80882^346213+37151104221Stefano Morozzi11/2024
80892^346213+162399104221Stefano Morozzi11/2024
80912^346209+173231104220Stefano Morozzi11/2024
80922^346207+125243104219Stefano Morozzi11/2024
80932^346208+79825104219Stefano Morozzi11/2024
80942^346208+176463104219Stefano Morozzi11/2024
80952^346206+195363104219Stefano Morozzi11/2024
80962^346202+67065104218Stefano Morozzi11/2024
80972^346202+107377104218Stefano Morozzi11/2024
80982^346204+127677104218Stefano Morozzi11/2024
80992^346204+19573104218Stefano Morozzi11/2024
81002^346204+161997104218Stefano Morozzi11/2024
81012^346204+152665104218Stefano Morozzi11/2024
81022^346199+90995104217Stefano Morozzi11/2024
81032^346199+189629104217Stefano Morozzi11/2024
81042^346200+159591104217Stefano Morozzi11/2024
81052^346195+19733104216Stefano Morozzi11/2024
81062^346196+141117104216Stefano Morozzi11/2024
81072^346196+195171104216Stefano Morozzi11/2024
81082^346197+113751104216Stefano Morozzi11/2024
81092^346198+95305104216Stefano Morozzi11/2024
81102^346198+106735104216Stefano Morozzi11/2024
811218^83021-91104214Lelio R Paula01/2017
81112^346189+194831104214Stefano Morozzi11/2024
811310^104212+128779104213Patrick De Geest05/2016
811410^104212+237447104213Patrick De Geest05/2016
811510^104212+242139104213Patrick De Geest05/2016
811610^104212+269199104213Patrick De Geest05/2016
812024254^19803+19803^24254104213Hans Havermann09/2020
81172^346186+93813104213Stefano Morozzi11/2024
81182^346186+153687104213Stefano Morozzi11/2024
81192^346187+102195104213Stefano Morozzi11/2024
8125(10^104212-71)/1104212Serge Batalov12/2014
81212^346182+118065104212Stefano Morozzi11/2024
81222^346184+155085104212Stefano Morozzi11/2024
81232^346184+187513104212Stefano Morozzi11/2024
81242^346184+188455104212Stefano Morozzi11/2024
81262^346180+82735104211Stefano Morozzi11/2024
81272^346180+160593104211Stefano Morozzi11/2024
81282^346180+192333104211Stefano Morozzi11/2024
81292^346181+199821104211Stefano Morozzi11/2024
81302^346176+123667104210Stefano Morozzi11/2024
81312^346178+37455104210Stefano Morozzi11/2024
81322^346178+95865104210Stefano Morozzi11/2024
81332^346178+159517104210Stefano Morozzi11/2024
81342^346174+12543104209Stefano Morozzi11/2024
81352^346169+56049104208Stefano Morozzi11/2024
81362^346169+118965104208Stefano Morozzi11/2024
81372^346170+31363104208Stefano Morozzi11/2024
81382^346165+61767104207Stefano Morozzi11/2024
81392^346166+189919104207Stefano Morozzi11/2024
81402^346167+41681104207Stefano Morozzi11/2024
81412^346162+85765104206Stefano Morozzi11/2024
81422^346164+152925104206Stefano Morozzi11/2024
81432^346160+131703104205Stefano Morozzi11/2024
81442^346155+166433104204Stefano Morozzi11/2024
81452^346157+7137104204Stefano Morozzi11/2024
81462^346158+31483104204Stefano Morozzi11/2024
81472^346158+183253104204Stefano Morozzi11/2024
81482^346152+136287104203Stefano Morozzi11/2024
81492^346154+107499104203Stefano Morozzi11/2024
81502^346154+187987104203Stefano Morozzi11/2024
815423678^23821-23821^23678104202Norbert Schneider01/2020
81512^346149+45857104202Stefano Morozzi11/2024
81522^346150+111579104202Stefano Morozzi11/2024
81532^346151+21539104202Stefano Morozzi11/2024
81552^346143+119183104200Stefano Morozzi11/2024
81562^346143+130361104200Stefano Morozzi11/2024
81572^346143+171791104200Stefano Morozzi11/2024
81582^346144+4731104200Stefano Morozzi11/2024
81592^346144+158097104200Stefano Morozzi11/2024
81602^346139+68459104199Stefano Morozzi11/2024
81612^346140+121711104199Stefano Morozzi11/2024
81622^346135+122913104198Stefano Morozzi11/2024
81632^346135+125453104198Stefano Morozzi11/2024
81642^346135+184869104198Stefano Morozzi11/2024
81652^346136+135721104198Stefano Morozzi11/2024
81662^346133+46695104197Stefano Morozzi11/2024
81672^346129+87819104196Stefano Morozzi11/2024
81682^346130+127369104196Stefano Morozzi11/2024
81692^346130+177619104196Stefano Morozzi11/2024
81702^346125+105609104195Stefano Morozzi11/2024
81712^346127+71201104195Stefano Morozzi11/2024
81722^346122+74469104194Stefano Morozzi11/2024
81732^346122+124119104194Stefano Morozzi11/2024
81742^346122+124227104194Stefano Morozzi11/2024
81752^346124+83973104194Stefano Morozzi11/2024
81762^346124+186877104194Stefano Morozzi11/2024
81772^346121+174729104193Stefano Morozzi11/2024
81782^346116+166317104192Stefano Morozzi11/2024
81792^346117+98015104192Stefano Morozzi11/2024
8180(13*31^69863+12407)/30104191Eric Chen04/2024
81812^346112+20827104191Stefano Morozzi11/2024
81822^346112+77533104191Stefano Morozzi11/2024
81832^346114+76959104191Stefano Morozzi11/2024
81842^346115+30513104191Stefano Morozzi11/2024
81852^346115+90105104191Stefano Morozzi11/2024
81862^346115+155859104191Stefano Morozzi11/2024
81872^346115+157809104191Stefano Morozzi11/2024
81882^346109+118587104190Stefano Morozzi11/2024
81892^346110+105763104190Stefano Morozzi11/2024
81902^346110+175197104190Stefano Morozzi11/2024
81912^346110+197725104190Stefano Morozzi11/2024
81922^346111+143313104190Stefano Morozzi11/2024
81932^346107+153513104189Stefano Morozzi11/2024
81942^346108+153897104189Stefano Morozzi11/2024
81952^346102+79435104188Stefano Morozzi11/2024
81962^346102+131949104188Stefano Morozzi11/2024
81972^346103+123009104188Stefano Morozzi11/2024
81982^346104+115845104188Stefano Morozzi11/2024
81992^346105+29141104188Stefano Morozzi11/2024
82002^346105+85035104188Stefano Morozzi11/2024
82012^346098+80323104186Stefano Morozzi11/2024
82022^346092+69855104185Stefano Morozzi11/2024
82032^346093+3627104185Stefano Morozzi11/2024
82042^346089+90947104184Stefano Morozzi11/2024
82052^346089+186749104184Stefano Morozzi11/2024
82062^346091+71279104184Stefano Morozzi11/2024
82072^346084+69211104182Stefano Morozzi11/2024
82082^346084+112237104182Stefano Morozzi11/2024
82092^346079+10371104181Stefano Morozzi11/2024
82102^346079+82811104181Stefano Morozzi11/2024
82142^346078+7695104180Lelio R Paula12/2016
82112^346076+85903104180Stefano Morozzi11/2024
82122^346076+111577104180Stefano Morozzi11/2024
82132^346076+143047104180Stefano Morozzi11/2024
82152^346072+126673104179Stefano Morozzi11/2024
82162^346073+37899104179Stefano Morozzi11/2024
82172^346075+21519104179Stefano Morozzi11/2024
82182^346075+27255104179Stefano Morozzi11/2024
82192^346075+115331104179Stefano Morozzi11/2024
82202^346069+53615104178Stefano Morozzi11/2024
82212^346069+188087104178Stefano Morozzi11/2024
82222^346066+29949104177Stefano Morozzi11/2024
82232^346066+133909104177Stefano Morozzi11/2024
82242^346066+188535104177Stefano Morozzi11/2024
82252^346068+159553104177Stefano Morozzi11/2024
82262^346064+122683104176Stefano Morozzi11/2024
82272^346060+20325104175Stefano Morozzi11/2024
82282^346060+110755104175Stefano Morozzi11/2024
82292^346058+57933104174Stefano Morozzi11/2024
82352^346055-19537104173Enzo Doria05/2013
8236(3*2^346057+1)/77104173Lelio R Paula12/2013
82302^346052+26655104173Stefano Morozzi11/2024
82312^346052+31611104173Stefano Morozzi11/2024
82322^346053+67667104173Stefano Morozzi11/2024
82332^346054+30507104173Stefano Morozzi11/2024
82342^346054+194589104173Stefano Morozzi11/2024
82372^346049+59067104172Stefano Morozzi11/2024
82382^346050+3129104172Stefano Morozzi11/2024
82392^346050+167125104172Stefano Morozzi11/2024
82402^346051+52563104172Stefano Morozzi11/2024
82412^346051+90941104172Stefano Morozzi11/2024
82422^346046+172107104171Stefano Morozzi11/2024
82432^346048+63415104171Stefano Morozzi11/2024
82442^346041+197885104169Stefano Morozzi11/2024
82482^346037-20125104168Enzo Doria06/2013
82452^346036+80773104168Stefano Morozzi11/2024
82462^346037+116429104168Stefano Morozzi11/2024
82472^346038+147549104168Stefano Morozzi11/2024
82492^346034+2205104167Stefano Morozzi11/2024
82502^346031+56429104166Stefano Morozzi11/2024


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: February, 15 2025 11:08 (Time in France)

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